7.1 Word Problems with Graphing Linear Equations - Part Two

So basically there are three tools that we use in algebra to understand the work we are doing: (oh yeah, hope you had a good weekend and all that good stuff:)

1. formulaic expressions of linear equations (functions) such as our beloved slope-intercept form, y=mx+b, or standard form (used more in Chap. 7)
2. tables of coordinates (x,y) that list answers to the functions and show us patterns that helps us to identify changes like slope
3. graphs of solution sets (coordinates that work) on a cartesian plane or visuals representing the changes of variables on a scaled or skewed graph

As you read this list, it is important you know what these three tools or components are because we are working on adding a forth.  If you are not familiar with these tools please review the following video:

Systems Intro 3 - 3 Tools for Algebra

The forth area we will be working on has the actual real-world word problems that require the use of algebra to solve them, the reason we study algebra.  It's not just about getting ready for the next math class in our sequence, typically Geometry, it's about using algebra in applied settings.

Accordingly, please watch the following videos on graphing linear equations with positive and negative slopes.  Please watch them in order as the second video builds on the first and starts with a y-axis of 1970 which also ends up being 0 when we apply the equation.

Graphing Linear Equations (positive slope word problems)
Graphing Linear Equations (negative slope word problems)

Then do the homework questions as practice:

HW: pgs 327-8, #s 42, 43, 44, (write equations, show tables & graphs for each)

Challenge: pg 328, #51 (same three tasks)